\(11^{2}=121\) . What is the square root of \(121\)?

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\(11^{2}=121\) . What is the square root of \(121\)?

Given, \(11^2= 121\) \(...(i)\)

Now, the square root of \(121\) \( = \sqrt{121}\)

\(\Rightarrow \sqrt{121} = \sqrt{11^2}\) [using \((i)\)]

\(\Rightarrow 11^{\frac{2}{2}}\)

\(\Rightarrow 11\)

So, the square root of \(121\) is \(11\).

Now, the square root of \(121\) \( = \sqrt{121}\)

\(\Rightarrow \sqrt{121} = \sqrt{11^2}\) [using \((i)\)]

\(\Rightarrow 11^{\frac{2}{2}}\)

\(\Rightarrow 11\)

So, the square root of \(121\) is \(11\).

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